Residual Displacements‘ Progresive Analysis of the Multisupported Beam
Liudas Liepa (Vilnius Gediminas Technical University, Lithuania)
Agnė Gervytė (Vilnius Gediminas Technical University, Lithuania)
Ela Jarmolajeva (Vilnius Gediminas Technical University, Lithuania)
Juozas Atkočiūnas (Vilnius Gediminas Technical University, Lithuania)
Agnė Gervytė (Vilnius Gediminas Technical University, Lithuania)
Ela Jarmolajeva (Vilnius Gediminas Technical University, Lithuania)
Juozas Atkočiūnas (Vilnius Gediminas Technical University, Lithuania)
Abstract
This paper focuses on a shakedown behaviour of the ideally elasto-plastic beams system under variable repeated load. The mathematical models of the analysis problems are created using numerical methods, extremum energy principles and mathematic programming. It is shown that during the shakedown process the residual displacements vary non-monotonically. By solving analysis problem, where the load locus is being progressively expanded, it is possible to determine the upper and lower bounds of residual displacements. Suggested methods are ilustrated by solving multisupported beam example problem. The results are obtained considering principle of the small displacements.
Article in:
Lithuanian
Article published:
2014-12-19
Keyword(s): variable repeated load; shakedown; extremum energy principles; residual displacements.
DOI: 10.3846/mla.2014.686
Science – Future of Lithuania / Mokslas – Lietuvos Ateitis ISSN 2029-2341, eISSN 2029-2252
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 License.